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Finding the Third Proportional to 36,624.38 and 54,926.44

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Solution

The third proportional to 36,624.38 and 54,926.44 is: 82,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,624.38 : 54,926.44 = 54,926.44 : x
  2. Step 2: Convert to fraction form
    36,624.38/54,926.44 = 54,926.44/x
  3. Step 3: Cross multiply
    36,624.38x = 54,926.44 × 54,926.44
  4. Step 4: Simplify right side
    36,624.38x = 3,016,913,536.44
  5. Step 5: Solve for x
    x = 3,016,913,536.44/36,624.38
  6. Step 6: Final answer
    x = 82,374.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.